That was rhetorical, right? Creationists have no interest being proved wrong or learning the truth. Courts keep shooting down ID, and despite the precedences, these cases keep popping up, even after the Flying Spaghetti Monster touched everyone of importance in Kansas with his Noodly Appendage. No, Cosmos will help with young minds and fence-sitters, but Creationists will be around as long as religion is alive.

"Solve" is such a heavy word. Like the show is gonna be a cure-all. In that sense, no.

But it will certainly help. It'll be another source of valid, scientifically-sound information that will serve to teach whomever watches it with an open mind. Another weapon in our intellectual arsenal.